Answer:
Simplified expression: [tex]\frac{1}{y+8 }[/tex].
The value of y that makes the expression undefined is y=-8.
Step-by-step explanation:
[tex]\frac{2y^{3}}{2y^{4}+16y^{3}}[/tex]
= [tex]\frac{2y^{3}}{2y^{3}(y+8) }[/tex]
(cancel out 2y³)
=[tex]\frac{1}{y+8 }[/tex]
A rational expression is undefined when the denominator (bottom number) is zero. So, if y equalled -8, the expression would ultimately equal [tex]\frac{1}{0}[/tex], which is undefined.
